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Finding the Fourth Proportional to 299,681.55, 413,559 and 163,714.14

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Solution

The fourth proportional to 299,681.55, 413,559 and 163,714.14 is: 225,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,681.55 : 413,559 = 163,714.14 : x
  2. Step 2: Convert to fraction form
    299,681.55/413,559 = 163,714.14/x
  3. Step 3: Cross multiply
    299,681.55x = 413,559 × 163,714.14
  4. Step 4: Simplify right side
    299,681.55x = 67,705,456,024.26
  5. Step 5: Solve for x
    x = 67,705,456,024.26/299,681.55
  6. Step 6: Final answer
    x = 225,924.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.